In an informal conversational English, I believe this is acceptable. Although, it is grammatically incorrect. The easy and right way to say it would be "we will go camping tomorrow". Please note that this is not to be confused with a sentence "we will go to camp tomorrow". Because the first sentence indicates an outdoor activity to the wilderness and sleep in a tent or so. Meanwhile the second sentence indicates that there is already an existing compound to visit to.

Yes

Yes.

Thanks Dewi!

"Tomorrow we are going camping in the jungle." - this is perfect or ( as Retta Says ) " we will go camping tomorrow" is good too